I posted this on the Sparta Drive-In page, so I apologize if it repeats here.

A 1951 aerial view of Sparta only shows the Sparta Drive-In which is located on the highway between Sparta and Cookeville. There is no indication of another drive-in along that highway between the two towns at that time which I could see.

Given the odd listings in IMPA NeonMichael cited, including the location and similar size in car capacity, it seems that the Sparta and the Park-A-Way may be the same. Or, perhaps a mistake has been made as there is a “Parkaway Drive-In” located in Maryville, TN.